Finding the Third Proportional to 46,684.50 and 102,438

Step by Step Solution

1. Step 1: Write the proportion equation
   46,684.50 : 102,438 = 102,438 : x
2. Step 2: Convert to fraction form
   46,684.50/102,438 = 102,438/x
3. Step 3: Cross multiply
   46,684.50x = 102,438 × 102,438
4. Step 4: Simplify right side
   46,684.50x = 10,493,543,844
5. Step 5: Solve for x
   x = 10,493,543,844/46,684.50
6. Step 6: Final answer
   x = 224,775.76